Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	晏文璟教授，西安交通大学数学与统计学院
Inviter:	张晨松副研究员
Title:	Domain Decomposition and Optimized Schwarz Methods for the Dual-porosity-conduit System
Time & Venue:	2022.11.16 19:30-21:00 腾讯会议：124-107-886 会议密码：2022
Abstract:	In this work, we propose and analyze domain decomposition methods to decouple the large system arisen from the discretization of dual-porosity-Stokes model. Robin boundary conditions are used to decouple the coupling conditions on the interface. Then, Robin-Robin domain decomposition method is established based on the two decoupled sub-problems. Convergence analysis is demonstrated and a geometric convergence order is obtained. Optimized Schwarz method is proposed for the dual-porosity-Stokes model and optimized Robin parameters are obtained to improve the convergence of proposed algorithms. Numerical experiments are presented to illustrate and validate the accuracy and applicability of proposed algorithms.